Edit Profile (opens in new tab) Beck, Matthias Compute Distance To: Compute Author ID: beck.matthias Published as: Beck, Matthias; Beck, M. External Links: MGP Documents Indexed: 82 Publications since 1999, including 5 Books 2 Contributions as Editor Reviewing Activity: 112 Reviews Co-Authors: 104 Co-Authors with 76 Joint Publications 1,891 Co-Co-Authors all top 5 Co-Authors 8 single-authored 11 Robins, Sinai 7 Braun, Benjamin 7 Haase, Christian Alexander 7 Zaslavsky, Thomas 5 Savage, Carla D. 4 Reznick, Bruce 4 Sam, Steven V. 3 Hoşten, Serkan 3 Zacks, Shelemyahu 2 Bayad, Abdelmejid 2 Farahmand, Maryam 2 Gessel, Ira Martin 2 Jochemko, Katharina Victoria 2 Köppe, Matthias 2 Michałek, Mateusz 2 Pfeifle, Julian 2 Robbins, Neville 2 Ruiz, Amanda 2 Sanyal, Raman 2 Sottile, Frank 2 Vergne, Michèle 2 Welker, Volkmar 2 Zafeirakopoulos, Zafeirakis 1 Andrews, George Eyre 1 Ardila, Federico 1 Auli, Juan S. 1 Baldoni-Silva, Maria Welleda 1 Bardomero, Leonardo 1 Barvinok, Alexander I. 1 Berget, Andrew 1 Berndt, Bruce Carl 1 Berrizbeitia, Ana 1 Blado, Daniel 1 Bliem, Thomas 1 Bogart, Tristram 1 Breuer, Felix 1 Chan, O-Yeat 1 Chavez, Anastasia 1 Chen, Beifang 1 Cochet, Charles 1 Cohen, Moshe 1 Crawford, Joseph 1 Cuomo, Jessica 1 Cuyjet, Alyssa 1 Dairyko, Michael 1 De Loera, Jesús A. 1 De Silva, Jessica 1 Delgado, Jessica 1 Develin, Mike 1 Diaz, Ricardo L. 1 Dorfsman-Hopkins, Gabriel 1 Einstein, David M. 1 Fukshansky, Lenny 1 Geoghegan, Ross 1 Godkin, Logan 1 Gribelyuk, Paul 1 Gubeladze, Joseph 1 Gunnells, Paul E. 1 Halloran, Mary 1 Hardin, Mela 1 Higashitani, Akihiro 1 Hofscheier, Johannes 1 Jayawant, Pallavi 1 Jean-Louis, Taïna 1 Karunaratne, Gina 1 Katthän, Lukas 1 Kemper, Yvonne 1 Kifer, Curtis 1 Kirby, Gordon Rojas 1 Knutson, Allen 1 Kohl, Florian 1 Lee, Sunyoung 1 León, Emerson 1 Martin, Jeremy L. 1 Materov, Evgeny N. 1 Matthews, Asia R. 1 McAllister, Tyrrell B. 1 McCullough, Emily 1 Meza, Erika 1 Nevarez, Bryan 1 Nill, Benjamin 1 Pham, Tu-San 1 Pixton, Dennis 1 Pruitt, Joseph 1 Rodriguez, Claudia N. 1 Ruiz, Sandra Zuniga 1 Schürmann, Achill 1 Schymura, Matthias 1 Seashore, Kim 1 Shine, Alana 1 Soprunov, Ivan 1 Stanley, Richard Peter 1 Stapledon, Alan 1 Stubblefield, Molly 1 van Herick, Andrew 1 Vazirani, Monica J. 1 Veeneman, Schuyler 1 Veomett, Ellen 1 Vindas-Meléndez, Andrés R. 1 Wang, Xueqin ...and 4 more Co-Authors all top 5 Serials 7 Discrete & Computational Geometry 6 Journal of Combinatorial Theory. Series A 5 American Mathematical Monthly 4 Acta Arithmetica 4 Graphs and Combinatorics 4 The Electronic Journal of Combinatorics 4 Annals of Combinatorics 3 The Ramanujan Journal 3 International Journal of Number Theory 3 Undergraduate Texts in Mathematics 2 Beiträge zur Algebra und Geometrie 2 Advances in Mathematics 2 Proceedings of the American Mathematical Society 2 Advances in Applied Mathematics 2 SIAM Journal on Discrete Mathematics 2 Journal of Algebraic Combinatorics 2 Integers 2 Contemporary Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Journal of Combinatorial Theory. Series B 1 Journal of Number Theory 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Experimental Mathematics 1 Mathematical Research Letters 1 Séminaire Lotharingien de Combinatoire 1 Journal of Integer Sequences 1 Graduate Studies in Mathematics 1 Involve 1 Springer-Lehrbuch all top 5 Fields 56 Combinatorics (05-XX) 49 Convex and discrete geometry (52-XX) 43 Number theory (11-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 3 Operations research, mathematical programming (90-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 874 times in 649 Documents Cited by ▼ Year ▼ Computing the continuous discretely. Integer-point enumeration in polyhedra. Zbl 1114.52013Beck, Matthias; Robins, Sinai 246 2007 Computing the continuous discretely. Integer-point enumeration in polyhedra. With illustrations by David Austin. 2nd edition. Zbl 1339.52002Beck, Matthias; Robins, Sinai 82 2015 Inside-out polytopes. Zbl 1107.52009Beck, Matthias; Zaslavsky, Thomas 38 2006 Root polytopes and growth series of root lattices. Zbl 1261.52010Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim 30 2011 The Ehrhart polynomial of the Birkhoff polytope. Zbl 1065.52007Beck, Matthias; Pixton, Dennis 29 2003 Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P. 28 2005 The number of nowhere-zero flows on graphs and signed graphs. Zbl 1119.05105Beck, Matthias; Zaslavsky, Thomas 24 2006 The Frobenius problem, rational polytopes, and Fourier-Dedekind sums. Zbl 1038.11026Beck, Matthias; Diaz, Ricardo; Robins, Sinai 21 2002 On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series. Zbl 1230.05017Beck, Matthias; Stapledon, Alan 18 2010 Volume computation for polytopes and partition functions for classical root systems. Zbl 1105.52001Baldoni, M. Welleda; Beck, Matthias; Cochet, Charles; Vergne, Michele 17 2006 Combinatorial reciprocity theorems. An invitation to enumerative geometric combinatorics. Zbl 1411.05001Beck, Matthias; Sanyal, Raman 17 2018 Dedekind cotangent sums. Zbl 1061.11043Beck, Matthias 16 2003 The polynomial part of a restricted partition function related to the Frobenius problem. Zbl 0982.05010Beck, Matthias; Gessel, Ira M.; Komatsu, Takao 15 2001 Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018Bayad, Abdelmejid; Beck, Matthias 13 2014 \(s\)-lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones. Zbl 1306.05012Beck, Matthias; Braun, Benjamin; Köppe, Matthias; Savage, Carla D.; Zafeirakopoulos, Zafeirakis 12 2015 Counting lattice points by means of the residue theorem. Zbl 0988.11045Beck, Matthias 12 2000 Enumerating colorings, tensions and flows in cell complexes. Zbl 1311.05086Beck, Matthias; Breuer, Felix; Godkin, Logan; Martin, Jeremy L. 11 2014 \(h^\ast \)-polynomials of zonotopes. Zbl 1402.05100Beck, Matthias; Jochemko, Katharina; McCullough, Emily 11 2019 Multidimensional Ehrhart reciprocity. Zbl 1005.52006Beck, Matthias 10 2002 Determinations of analogues of Gauss sums and other trigonometric sums. Zbl 1088.11064Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru 10 2005 Finite trigonometric character sums via discrete Fourier analysis. Zbl 1268.11106Beck, Matthias; Halloran, Mary 10 2010 Partitions with fixed differences between largest and smallest parts. Zbl 1328.11106Andrews, George E.; Beck, Matthias; Robbins, Neville 10 2015 Irrational proofs for three theorems of Stanley. Zbl 1109.05017Beck, Matthias; Sottile, Frank 10 2007 Maximal periods of (Ehrhart) quasi-polynomials. Zbl 1152.05006Beck, Matthias; Sam, Steven V.; Woods, Kevin M. 9 2008 Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones. Zbl 1185.05007Beck, Matthias; Haase, Christian; Sottile, Frank 8 2009 Cyclotomic polytopes and growth series of cyclotomic lattices. Zbl 1175.11030Beck, Matthias; Hoşten, Serkan 8 2006 Very ample and Koszul segmental fibrations. Zbl 1331.52020Beck, Matthias; Delgado, Jessica; Gubeladze, Joseph; Michałek, Mateusz 8 2015 Lattice-point generating functions for free sums of convex sets. Zbl 1283.52003Beck, Matthias; Jayawant, Pallavi; McAllister, Tyrrell B. 8 2013 Euler-Mahonian statistics via polyhedral geometry. Zbl 1283.05011Beck, Matthias; Braun, Benjamin 8 2013 The partial-fractions method for counting solutions to integral linear systems. Zbl 1196.11054Beck, Matthias 6 2004 Enumeration of Golomb rulers and acyclic orientations of mixed graphs. Zbl 1253.05014Beck, Matthias; Bogart, Tristram; Pham, Tu 6 2012 Generating functions and triangulations for lecture hall cones. Zbl 1342.05009Beck, Matthias; Braun, Benjamin; Köppe, Matthias; Savage, Carla D.; Zafeirakopoulos, Zafeirakis 6 2016 Combinatorial reciprocity theorems. Zbl 1254.05013Beck, Matthias 6 2012 Explicit and efficient formulas for the lattice point count in rational polygons using Dedekind-Rademacher sums. Zbl 1009.11058Beck, Matthias; Robins, Sinai 5 2002 Let me tell you my favorite lattice-point problem …. Zbl 1165.52013Beck, Matthias; Nill, Benjamin; Reznick, Bruce; Savage, Carla; Soprunov, Ivan; Xu, Zhiqiang 5 2008 Six little squares and how their numbers grow. Zbl 1230.05062Beck, Matthias; Zaslavsky, Thomas 5 2010 An extreme family of generalized Frobenius numbers. Zbl 1245.11038Beck, Matthias; Kifer, Curtis 5 2011 Parking functions, Shi arrangements, and mixed graphs. Zbl 1332.05016Beck, Matthias; Berrizbeitia, Ana; Dairyko, Michael; Rodriguez, Claudia; Ruiz, Amanda; Veeneman, Schuyler 5 2015 A formula related to the Frobenius problem in two dimensions. Zbl 1053.11023Beck, Matthias; Robins, Sinai 5 2004 On weak chromatic polynomials of mixed graphs. Zbl 1306.05100Beck, Matthias; Blado, Daniel; Crawford, Joseph; Jean-Louis, Taïna; Young, Michael 5 2015 Problems from the Cottonwood Room. Zbl 1136.00300Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill 4 2005 Dedekind-Carlitz polynomials as lattice-point enumerators in rational polyhedra. Zbl 1144.11070Beck, Matthias; Haase, Christian; Matthews, Asia R. 4 2008 Geometric proofs of polynomial reciprocity laws of Carlitz, Berndt, and Dieter. Zbl 1166.11015Beck, Matthias 4 2006 A closer look at lattice points in rational simplices. Zbl 0934.11048Beck, Matthias 4 1999 The reciprocity law for Dedekind sums via the constant Ehrhart coefficient. Zbl 0979.05004Beck, Matthias 4 1999 Dedekind sums: a combinatorial-geometric viewpoint. Zbl 1070.11017Beck, Matthias; Robins, Sinai 4 2004 The number of “magic” squares, cubes, and hypercubes. Zbl 1043.05501Beck, Matthias; Cohen, Moshe; Cuomo, Jessica; Gribelyuk, Paul 4 2003 A unifying generalization of Sperner’s theorem. Zbl 1094.05055Beck, M.; Wang, Xueqin; Zaslavsky, T. 3 2006 An enumerative geometry for magic and magilatin labellings. Zbl 1116.05071Beck, Matthias; Zaslavsky, Thomas 3 2006 Positivity theorems for solid-angle polynomials. Zbl 1257.52007Beck, Matthias; Robins, Sinai; Sam, Steven V. 3 2010 Nowhere-harmonic colorings of graphs. Zbl 1238.05083Beck, Matthias; Braun, Benjamin 3 2012 Some experimental results on the Frobenius problem. Zbl 1076.11015Beck, Matthias; Einstein, David; Zacks, Shelemyahu 3 2003 A shorter, simpler, stronger proof of the Meshalkin–Hochberg–Hirsch bounds on componentwise antichains. Zbl 1028.05111Beck, Matthias; Zaslavsky, Thomas 3 2002 A Meshalkin theorem for projective geometries. Zbl 1018.05100Beck, Matthias; Zaslavsky, Thomas 3 2003 Mahonian partition identities via polyhedral geometry. Zbl 1305.05007Beck, Matthias; Braun, Benjamin; Le, Nguyen 3 2013 Bernoulli-Dedekind sums. Zbl 1262.11056Beck, Matthias; Chavez, Anastasia 3 2011 Grid graphs, Gorenstein polytopes, and domino stackings. Zbl 1189.05142Beck, Matthias; Haase, Christian; Sam, Steven V 2 2009 Frobenius coin-exchange generating functions. Zbl 1444.11045Bardomero, Leonardo; Beck, Matthias 2 2020 Reciprocity theorems for Bettin-Conrey sums. Zbl 1422.11088Auli, Juan S.; Bayad, Abdelmejid; Beck, Matthias 2 2017 A bivariate chromatic polynomial for signed graphs. Zbl 1327.05099Beck, Matthias; Hardin, Mela 2 2015 Smooth centrally symmetric polytopes in dimension 3 are IDP. Zbl 1429.52015Beck, Matthias; Haase, Christian; Higashitani, Akihiro; Hofscheier, Johannes; Jochemko, Katharina; Katthän, Lukas; Michałek, Mateusz 2 2019 Flows on simplicial complexes. Zbl 1412.05228Beck, Matthias; Kemper, Yvonne 2 2012 Rademacher-Carlitz polynomials. Zbl 1318.11057Beck, Matthias; Kohl, Florian 2 2014 The art of proof. Basic training for deeper mathematics. Zbl 1198.00009Beck, Matthias; Geoghegan, Ross 1 2010 Refined upper bounds for the linear Diophantine problem of Frobenius. Zbl 1055.11021Beck, Matthias; Zacks, Shelemyahu 1 2004 Symmetrically constrained compositions. Zbl 1218.05019Beck, Matthias; Gessel, Ira M.; Lee, Sunyoung; Savage, Carla D. 1 2010 Nowhere-zero \(\vec{k}\)-flows on graphs. Zbl 1307.05089Beck, Matthias; Cuyjet, Alyssa; Kirby, Gordon Rojas; Stubblefield, Molly; Young, Michael 1 2014 Integer points in polyhedra. Geometry, number theory, algebra, optimization. Proceedings of an AMS-IMS-SIAM joint summer research conference on integer points in polyhedra, Snowbird, UT, USA, July 13–17, 2003. Zbl 1065.00009 1 2005 Lonely runner polyhedra. Zbl 1421.52017Beck, Matthias; Hoşten, Serkan; Schymura, Matthias 1 2019 Enumeration of \(4 \times 4\) magic squares. Zbl 1227.05092Beck, Matthias; van Herick, Andrew 1 2011 Frobenius coin-exchange generating functions. Zbl 1444.11045Bardomero, Leonardo; Beck, Matthias 2 2020 \(h^\ast \)-polynomials of zonotopes. Zbl 1402.05100Beck, Matthias; Jochemko, Katharina; McCullough, Emily 11 2019 Smooth centrally symmetric polytopes in dimension 3 are IDP. Zbl 1429.52015Beck, Matthias; Haase, Christian; Higashitani, Akihiro; Hofscheier, Johannes; Jochemko, Katharina; Katthän, Lukas; Michałek, Mateusz 2 2019 Lonely runner polyhedra. Zbl 1421.52017Beck, Matthias; Hoşten, Serkan; Schymura, Matthias 1 2019 Combinatorial reciprocity theorems. An invitation to enumerative geometric combinatorics. Zbl 1411.05001Beck, Matthias; Sanyal, Raman 17 2018 Reciprocity theorems for Bettin-Conrey sums. Zbl 1422.11088Auli, Juan S.; Bayad, Abdelmejid; Beck, Matthias 2 2017 Generating functions and triangulations for lecture hall cones. Zbl 1342.05009Beck, Matthias; Braun, Benjamin; Köppe, Matthias; Savage, Carla D.; Zafeirakopoulos, Zafeirakis 6 2016 Computing the continuous discretely. Integer-point enumeration in polyhedra. With illustrations by David Austin. 2nd edition. Zbl 1339.52002Beck, Matthias; Robins, Sinai 82 2015 \(s\)-lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones. Zbl 1306.05012Beck, Matthias; Braun, Benjamin; Köppe, Matthias; Savage, Carla D.; Zafeirakopoulos, Zafeirakis 12 2015 Partitions with fixed differences between largest and smallest parts. Zbl 1328.11106Andrews, George E.; Beck, Matthias; Robbins, Neville 10 2015 Very ample and Koszul segmental fibrations. Zbl 1331.52020Beck, Matthias; Delgado, Jessica; Gubeladze, Joseph; Michałek, Mateusz 8 2015 Parking functions, Shi arrangements, and mixed graphs. Zbl 1332.05016Beck, Matthias; Berrizbeitia, Ana; Dairyko, Michael; Rodriguez, Claudia; Ruiz, Amanda; Veeneman, Schuyler 5 2015 On weak chromatic polynomials of mixed graphs. Zbl 1306.05100Beck, Matthias; Blado, Daniel; Crawford, Joseph; Jean-Louis, Taïna; Young, Michael 5 2015 A bivariate chromatic polynomial for signed graphs. Zbl 1327.05099Beck, Matthias; Hardin, Mela 2 2015 Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018Bayad, Abdelmejid; Beck, Matthias 13 2014 Enumerating colorings, tensions and flows in cell complexes. Zbl 1311.05086Beck, Matthias; Breuer, Felix; Godkin, Logan; Martin, Jeremy L. 11 2014 Rademacher-Carlitz polynomials. Zbl 1318.11057Beck, Matthias; Kohl, Florian 2 2014 Nowhere-zero \(\vec{k}\)-flows on graphs. Zbl 1307.05089Beck, Matthias; Cuyjet, Alyssa; Kirby, Gordon Rojas; Stubblefield, Molly; Young, Michael 1 2014 Lattice-point generating functions for free sums of convex sets. Zbl 1283.52003Beck, Matthias; Jayawant, Pallavi; McAllister, Tyrrell B. 8 2013 Euler-Mahonian statistics via polyhedral geometry. Zbl 1283.05011Beck, Matthias; Braun, Benjamin 8 2013 Mahonian partition identities via polyhedral geometry. Zbl 1305.05007Beck, Matthias; Braun, Benjamin; Le, Nguyen 3 2013 Enumeration of Golomb rulers and acyclic orientations of mixed graphs. Zbl 1253.05014Beck, Matthias; Bogart, Tristram; Pham, Tu 6 2012 Combinatorial reciprocity theorems. Zbl 1254.05013Beck, Matthias 6 2012 Nowhere-harmonic colorings of graphs. Zbl 1238.05083Beck, Matthias; Braun, Benjamin 3 2012 Flows on simplicial complexes. Zbl 1412.05228Beck, Matthias; Kemper, Yvonne 2 2012 Root polytopes and growth series of root lattices. Zbl 1261.52010Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim 30 2011 An extreme family of generalized Frobenius numbers. Zbl 1245.11038Beck, Matthias; Kifer, Curtis 5 2011 Bernoulli-Dedekind sums. Zbl 1262.11056Beck, Matthias; Chavez, Anastasia 3 2011 Enumeration of \(4 \times 4\) magic squares. Zbl 1227.05092Beck, Matthias; van Herick, Andrew 1 2011 On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series. Zbl 1230.05017Beck, Matthias; Stapledon, Alan 18 2010 Finite trigonometric character sums via discrete Fourier analysis. Zbl 1268.11106Beck, Matthias; Halloran, Mary 10 2010 Six little squares and how their numbers grow. Zbl 1230.05062Beck, Matthias; Zaslavsky, Thomas 5 2010 Positivity theorems for solid-angle polynomials. Zbl 1257.52007Beck, Matthias; Robins, Sinai; Sam, Steven V. 3 2010 The art of proof. Basic training for deeper mathematics. Zbl 1198.00009Beck, Matthias; Geoghegan, Ross 1 2010 Symmetrically constrained compositions. Zbl 1218.05019Beck, Matthias; Gessel, Ira M.; Lee, Sunyoung; Savage, Carla D. 1 2010 Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones. Zbl 1185.05007Beck, Matthias; Haase, Christian; Sottile, Frank 8 2009 Grid graphs, Gorenstein polytopes, and domino stackings. Zbl 1189.05142Beck, Matthias; Haase, Christian; Sam, Steven V 2 2009 Maximal periods of (Ehrhart) quasi-polynomials. Zbl 1152.05006Beck, Matthias; Sam, Steven V.; Woods, Kevin M. 9 2008 Let me tell you my favorite lattice-point problem …. Zbl 1165.52013Beck, Matthias; Nill, Benjamin; Reznick, Bruce; Savage, Carla; Soprunov, Ivan; Xu, Zhiqiang 5 2008 Dedekind-Carlitz polynomials as lattice-point enumerators in rational polyhedra. Zbl 1144.11070Beck, Matthias; Haase, Christian; Matthews, Asia R. 4 2008 Computing the continuous discretely. Integer-point enumeration in polyhedra. Zbl 1114.52013Beck, Matthias; Robins, Sinai 246 2007 Irrational proofs for three theorems of Stanley. Zbl 1109.05017Beck, Matthias; Sottile, Frank 10 2007 Inside-out polytopes. Zbl 1107.52009Beck, Matthias; Zaslavsky, Thomas 38 2006 The number of nowhere-zero flows on graphs and signed graphs. Zbl 1119.05105Beck, Matthias; Zaslavsky, Thomas 24 2006 Volume computation for polytopes and partition functions for classical root systems. Zbl 1105.52001Baldoni, M. Welleda; Beck, Matthias; Cochet, Charles; Vergne, Michele 17 2006 Cyclotomic polytopes and growth series of cyclotomic lattices. Zbl 1175.11030Beck, Matthias; Hoşten, Serkan 8 2006 Geometric proofs of polynomial reciprocity laws of Carlitz, Berndt, and Dieter. Zbl 1166.11015Beck, Matthias 4 2006 A unifying generalization of Sperner’s theorem. Zbl 1094.05055Beck, M.; Wang, Xueqin; Zaslavsky, T. 3 2006 An enumerative geometry for magic and magilatin labellings. Zbl 1116.05071Beck, Matthias; Zaslavsky, Thomas 3 2006 Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P. 28 2005 Determinations of analogues of Gauss sums and other trigonometric sums. Zbl 1088.11064Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru 10 2005 Problems from the Cottonwood Room. Zbl 1136.00300Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill 4 2005 Integer points in polyhedra. Geometry, number theory, algebra, optimization. Proceedings of an AMS-IMS-SIAM joint summer research conference on integer points in polyhedra, Snowbird, UT, USA, July 13–17, 2003. Zbl 1065.00009 1 2005 The partial-fractions method for counting solutions to integral linear systems. Zbl 1196.11054Beck, Matthias 6 2004 A formula related to the Frobenius problem in two dimensions. Zbl 1053.11023Beck, Matthias; Robins, Sinai 5 2004 Dedekind sums: a combinatorial-geometric viewpoint. Zbl 1070.11017Beck, Matthias; Robins, Sinai 4 2004 Refined upper bounds for the linear Diophantine problem of Frobenius. Zbl 1055.11021Beck, Matthias; Zacks, Shelemyahu 1 2004 The Ehrhart polynomial of the Birkhoff polytope. Zbl 1065.52007Beck, Matthias; Pixton, Dennis 29 2003 Dedekind cotangent sums. Zbl 1061.11043Beck, Matthias 16 2003 The number of “magic” squares, cubes, and hypercubes. Zbl 1043.05501Beck, Matthias; Cohen, Moshe; Cuomo, Jessica; Gribelyuk, Paul 4 2003 Some experimental results on the Frobenius problem. Zbl 1076.11015Beck, Matthias; Einstein, David; Zacks, Shelemyahu 3 2003 A Meshalkin theorem for projective geometries. Zbl 1018.05100Beck, Matthias; Zaslavsky, Thomas 3 2003 The Frobenius problem, rational polytopes, and Fourier-Dedekind sums. Zbl 1038.11026Beck, Matthias; Diaz, Ricardo; Robins, Sinai 21 2002 Multidimensional Ehrhart reciprocity. Zbl 1005.52006Beck, Matthias 10 2002 Explicit and efficient formulas for the lattice point count in rational polygons using Dedekind-Rademacher sums. Zbl 1009.11058Beck, Matthias; Robins, Sinai 5 2002 A shorter, simpler, stronger proof of the Meshalkin–Hochberg–Hirsch bounds on componentwise antichains. Zbl 1028.05111Beck, Matthias; Zaslavsky, Thomas 3 2002 The polynomial part of a restricted partition function related to the Frobenius problem. Zbl 0982.05010Beck, Matthias; Gessel, Ira M.; Komatsu, Takao 15 2001 Counting lattice points by means of the residue theorem. Zbl 0988.11045Beck, Matthias 12 2000 A closer look at lattice points in rational simplices. Zbl 0934.11048Beck, Matthias 4 1999 The reciprocity law for Dedekind sums via the constant Ehrhart coefficient. Zbl 0979.05004Beck, Matthias 4 1999 all cited Publications top 5 cited Publications all top 5 Cited by 834 Authors 36 Beck, Matthias 18 Higashitani, Akihiro 16 Hibi, Takayuki 14 Tsuchiya, Akiyoshi 13 Braun, Benjamin 10 Bayad, Abdelmejid 10 Zaslavsky, Thomas 9 Haase, Christian Alexander 9 Ohsugi, Hidefumi 9 Robins, Sinai 9 Sanyal, Raman 9 Stapledon, Alan 8 Breuer, Felix 7 De Loera, Jesús A. 7 Ehrenborg, Richard 7 Hanusa, Christopher R. H. 7 Henk, Martin 7 Mészáros, Karola 7 Michałek, Mateusz 7 Nill, Benjamin 7 Olsen, McCabe 7 Santos, Francisco 7 Solus, Liam T. 6 Chen, Beifang 6 Gubeladze, Joseph 6 Harris, Pamela E. 6 Liu, Fu 6 O’Neill, Christopher 6 Simsek, Yilmaz 6 Vergne, Michèle 5 Bruns, Winfried 5 Hetyei, Gábor 5 Juhnke-Kubitzke, Martina 5 Kim, Jang Soo 5 Köppe, Matthias 5 McAllister, Tyrrell B. 5 Morales, Alejandro Henry 5 Omar, Mohamed 5 Savage, Carla D. 5 Schymura, Matthias 5 Yoshinaga, Masahiko 4 Ardila, Federico 4 Baldoni-Silva, Maria Welleda 4 Chaiken, Seth 4 Davis, Robert Talton 4 Ferroni, Luis 4 Hamahata, Yoshinori 4 Insko, Erik 4 Jochemko, Katharina Victoria 4 Kasprzyk, Alexander M. 4 Kohl, Florian 4 Lauret, Emilio A. 4 Lin, Bernard L. S. 4 Moci, Luca 4 Paffenholz, Andreas 4 Pak, Igor 4 Readdy, Margaret A. 4 Sam, Steven V. 4 Welker, Volkmar 4 Woods, Kevin M. 4 Zhang, Philip B. 3 Backman, Spencer 3 Batyrev, Victor V. 3 Blanco, Mónica 3 Can, Mumun 3 Cherniavsky, Yonah 3 Cimpoeaş, Mircea 3 Cristofaro-Gardiner, Dan 3 Diaconis, Persi Warren 3 Hegedűs, Gábor 3 Hopkins, Samuel Francis 3 Katz, Eric 3 Kauers, Manuel 3 Khare, Apoorva 3 Klivans, Caroline J. 3 Kochol, Martin 3 Kronholm, Brandt 3 Kurz, Sascha 3 Lenz, Matthias 3 Linke, Eva 3 Ludwig, Monika 3 Makhlin, Igor 3 Ramírez Alfonsín, Jorge Luis 3 Sagan, Bruce Eli 3 Schürmann, Achill 3 Smith, Gregory G. 3 Vignat, Christophe 3 Vindas-Meléndez, Andrés R. 3 Xin, Guoce 3 Xu, Zhiqiang 3 Yoshida, Koutarou 3 Yoshida, Ruriko 3 Zafeirakopoulos, Zafeirakis 2 Aliev, Iskander M. 2 Alkan, Emre 2 Ashikaga, Tadashi 2 Balletti, Gabriele 2 Benedetti, Carolina 2 Berg, Sören Lennart 2 Berline, Nicole ...and 734 more Authors all top 5 Cited in 183 Serials 37 Journal of Combinatorial Theory. Series A 37 Discrete & Computational Geometry 35 The Electronic Journal of Combinatorics 25 Advances in Applied Mathematics 22 Advances in Mathematics 20 Discrete Mathematics 19 European Journal of Combinatorics 19 Annals of Combinatorics 17 Transactions of the American Mathematical Society 14 The Ramanujan Journal 13 Journal of Algebraic Combinatorics 13 Séminaire Lotharingien de Combinatoire 11 Proceedings of the American Mathematical Society 10 Journal of Number Theory 9 Graphs and Combinatorics 9 SIAM Journal on Discrete Mathematics 9 Selecta Mathematica. New Series 8 Journal of Symbolic Computation 8 International Journal of Number Theory 8 Algebraic Combinatorics 7 Mathematische Zeitschrift 6 American Mathematical Monthly 6 Journal of Mathematical Physics 5 Discrete Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Journal of Algebra 4 Beiträge zur Algebra und Geometrie 4 Annales de l’Institut Fourier 4 Duke Mathematical Journal 4 Journal of Combinatorial Theory. Series B 4 Journal of Pure and Applied Algebra 4 Acta Mathematica Hungarica 4 Integral Transforms and Special Functions 4 Integers 3 Bulletin of the Australian Mathematical Society 3 Communications in Algebra 3 Mathematics of Computation 3 The Mathematical Intelligencer 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Computational and Applied Mathematics 3 Mathematika 3 Michigan Mathematical Journal 3 Monatshefte für Mathematik 3 Pacific Journal of Mathematics 3 Semigroup Forum 3 Tôhoku Mathematical Journal. Second Series 3 Linear Algebra and its Applications 3 Journal of Mathematical Imaging and Vision 3 Journal of Integer Sequences 3 Ars Mathematica Contemporanea 3 Research in the Mathematical Sciences 3 Research in Number Theory 2 Communications in Mathematical Physics 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Functional Analysis and its Applications 2 Journal of Approximation Theory 2 Journal of Geometry 2 The Journal of Symbolic Logic 2 Mathematische Annalen 2 Osaka Journal of Mathematics 2 Theoretical Computer Science 2 Combinatorica 2 Social Choice and Welfare 2 Order 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal of Knot Theory and its Ramifications 2 Russian Journal of Mathematical Physics 2 Turkish Journal of Mathematics 2 Finite Fields and their Applications 2 Transformation Groups 2 Geometry & Topology 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mediterranean Journal of Mathematics 2 Discrete Optimization 2 Contributions to Discrete Mathematics 2 Mathematical Programming Computation 2 Kyoto Journal of Mathematics 2 Arnold Mathematical Journal 2 Discrete Analysis 2 SIAM Journal on Applied Algebra and Geometry 1 Indian Journal of Pure & Applied Mathematics 1 Information Processing Letters 1 Journal of Statistical Physics 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Nuclear Physics. B 1 Acta Arithmetica 1 Acta Mathematica Vietnamica 1 The Annals of Statistics 1 Automatica 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal of Game Theory 1 Journal of the Korean Mathematical Society 1 Journal of Mathematical Economics 1 Journal of the Mathematical Society of Japan ...and 83 more Serials all top 5 Cited in 48 Fields 311 Combinatorics (05-XX) 301 Convex and discrete geometry (52-XX) 189 Number theory (11-XX) 76 Algebraic geometry (14-XX) 71 Commutative algebra (13-XX) 35 Group theory and generalizations (20-XX) 28 Order, lattices, ordered algebraic structures (06-XX) 25 Nonassociative rings and algebras (17-XX) 25 Computer science (68-XX) 19 Special functions (33-XX) 19 Manifolds and cell complexes (57-XX) 16 Numerical analysis (65-XX) 16 Operations research, mathematical programming (90-XX) 13 Geometry (51-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Real functions (26-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Probability theory and stochastic processes (60-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Associative rings and algebras (16-XX) 10 Approximations and expansions (41-XX) 10 Statistics (62-XX) 8 Differential geometry (53-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Quantum theory (81-XX) 7 Field theory and polynomials (12-XX) 6 Functions of a complex variable (30-XX) 5 General and overarching topics; collections (00-XX) 5 Algebraic topology (55-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 3 Biology and other natural sciences (92-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 Systems theory; control (93-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year